i need help quick!

this is my last attempt on this assignment and im stuck on this one question, thanks!

The quadratic function which models the motion of the penny is

h(t) = -4.9t² -0.327761 t + 52.6  

and the maximum height reached is 57.43

h(t) = - 0.5gt² + vt + h

g = 9.8 m/s²

h = 52.6 m

v = ?

For v,

h(t) = -0.5gt² + vt + 52.6

h(t) = - 4.9t² + vt + 52.6

Time when penny hits the ground ; t = 3.31

h(3.31) = 0

0 = -4.9(3.31)² + v(3.31) + 52.6

0 = -53.68489 + 3.31v +52.6

3.31v = -1.08489

v = -1.08489/3.31

v = -0.327761 m/s

Therefore,

h(t) = -4.9t² -0.327761 t + 52.6

2.) Maximum height of the penny above the ground

t = 0.85 seconds

h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6

Maximum height reached =  57.43 meters

Therefore, the maximum height reached is 57.43 meters.

An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.

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Answer:

Step-by-step explanation:

You want the acute angles in a right triangle in which the larger is 8 times the smaller.

The ratio of the acute angles in the triangle is 1 : 8, so the smaller one is 1/(1+8) = 1/9 of the sum of the two angles.

The sum of the acute angles in a right triangle is 90°, so the smaller one is ...

  (1/9)(90°) = 10°

The larger is 8 times that:

  8 × 10° = 80°

The smaller angle is 10°; the larger angle is 80°.

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Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

If Cary earned $45600 before tax, then she paid $18240 as tax

The amount that Cary earned last year = $45600 before tax

The rate of tax if earning exceed of 43000 and up to 150000 = 40%

Then the amount of tax = The amount that Car earned last year × (The rate of tax if earning exceed of 43000 and up to 150000 / 100)

Substitute the values in the equation to find the tax amount

The amount of tax = 45600 × (40/100)

Divide the numbers first

= 45600 × 0.40

Multiply the numbers

= $18240

Hence, the amount of tax that he paid is $18240

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Answer:

Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss

Step-by-step explanation:

if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!

Answer:

60 cm

Step-by-step explanation:

18+18+12+12

30+30

60

the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense

Hopes this helps

Answer:

7.9

Step-by-step explanation:

Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.

Answer:125

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 root 6 is the answer because the 3 root 8 can be simplified to 6 root 2, so you when you multiply 2 root 3 with 3 root 8, you get 12 root 6.

Answer:

[tex]12\sqrt{6}[/tex]

Step-by-step explanation:

Given expression:

[tex]2 \sqrt{3} \cdot 3 \sqrt{8}[/tex]

Multiply the numbers 2 and 3:

[tex]\implies 6\sqrt{3}\sqrt{8}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:[/tex]

[tex]\implies 6\sqrt{3 \cdot 8}[/tex]

Simplify:

[tex]\implies 6\sqrt{24}[/tex]

Rewrite 24 as 4 · 6:

[tex]\implies 6\sqrt{4 \cdot 6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies 6\sqrt{4}\sqrt{6}[/tex]

Rewrite 4 as 2²:

[tex]\implies 6\sqrt{2^2}\sqrt{6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies 6 \cdot 2 \sqrt{6}[/tex]

Multiply the numbers 6 and 2:

[tex]\implies 12 \sqrt{6}[/tex]

The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.

The approximate average change can be found by the formula :

= ( Current price of stock - Lowest price ) / Number of days since lowest price

Current price of Dagofi Radar stock = $ 130. 58 closing price

Lowest price = $ 57. 71

The approximate average change is:

= ( 130. 58 - 57. 71) / 35

= 72. 87 / 35

= $ 2.08

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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.

52 wk High

52 wk Low

Symbol

Div.

Close

Net Change

162.22

57.71

DFR

9.75

130.58

-2.64

Miles will be remaining after 57 minutes of driving 58.7 miles.

What is Linear Function?

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Write the linear function as:

remaining distance = -0.85(drive time) + (intercept)

After 39 minutes of driving, Martina has 74 miles left to go.

That gives you the following:

74 = -0.85(39) + intercept

intercept = 107.15

Equation is rd = -0.85t + 107.15

remaining after 15 minutes of driving:

rd(57) = -0.85*57+107.15

rd(57) = 58.7 miles

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Answer:

Step-by-step explanation:

x = -9/5 = -1.800 or

x = 0

The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.

A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.

Given,

C(x)=1.2x²-600x+82,738

Minimum value [tex]C_{min}[/tex]=c-(b²/4a)

Where a=1.2, b=-600, c=82738

[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))

=82738-(360000/4.8)

=7738

Therefore, the minimum unit cost is 7738.

Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

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a) The system has infinitely many solutions in the following format:

(2 + z, 5 - z, z).

b) The system has no solution.

To obtain the number of solutions of each system, the equations are built from the augmented matrix presented.

For item a, both sides of the matrix have one zero row, hence the system has infinitely many solutions, and the equations are given as follows:

Hence the solutions in terms of z are given as follows:

Thus the format of the solutions is of:

(2 + z, 5 - z, z).

For item b, the right side has three non-zero rows, while the left-side has two, meaning that it has no solutions.

This can be verified from the last line, as the equation would be of:

0z = -2.

Which has no solution.

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Answer:

Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21​. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21​=1.

Step-by-step explanation:

Rachel's total income is $13320.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.

Commission = 9 x 0.04 = $0.36

Commission on 36000 cars = $12960

By working 40 hours he earn = 9 x 40 = $360

Hence, the total income = 360+ 12960 = $13320

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Consta8of proportionality is 1/9

The time derivative dp(t)/dt of the x component of the system's total momentum is m₁a₁(t)+m₂a₂(t).

A moving body's motion is measured by its momentum, which is the product of its mass and velocity. The formula for momentum is p=mv. Here, p is momentum, m is mass (in kg), and v is the velocity (m/s).

This equation with respect to time is written as dp(t)/dt. Then, momentum for block 1 is written as,

[tex]\begin{aligned}\frac{dp_1(t)}{dt}&=\frac{d(m_1v_1(t))}{dt}\\&=m_1\frac{dv_1(t)}{dt}\\&=m_1a_1(t)\end{aligned}[/tex]

The momentum for block 2 is written as,

[tex]\begin{aligned}\frac{dp_2(t)}{dt}&=\frac{d(m_2v_2(t))}{dt}\\&=m_2\frac{dv_2(t)}{dt}\\&=m_2a_2(t)\end{aligned}[/tex]

In both equations, the value dv/dt=a with respect to time.

Then, the total momentum is,

[tex]\begin{aligned}\frac{dp(t)}{dt}&=\frac{dp_1(t)}{dt}+\frac{dp_2(t)}{dt}\\&=m_1a_1(t)+m_2a_2(t)\end{aligned}[/tex]

Therefore, the value is m₁a₁(t)+m₂a₂(t).

The complete question is -

In this problem, you will analyze a system composed of two blocks, 1 and 2, of respective masses m1 and m2. To simplify the analysis, we will make several assumptions:

At time t, the x components of the velocity and the acceleration of block 1 are denoted by v1(t) and a1(t). Similarly, the x components of the velocity and acceleration of block 2 are denoted by v2(t)and a2(t). In this problem, you will show that the total momentum of the system is not changed by the presence of internal forces.

Part B

Find the time derivative dp(t)/dt of the x component of the system's total momentum.

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Answer:

Step-by-step explanation:

a(n) = a(1) + (n-1)d

a(n) = -9 + (n-1) x (-6-(-9)

a(n) = -9 + (n-1) x (-6 +9)

a(n)=  -9 + (n-1) x 3

a(n) = -9 + 3n - 3

a(n) = 3n - 12

a(30) = 3 x 30 - 12

a(30) = 90 - 12

a(30) = 78

At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.

From the given question;

Let the average sale price(μ)=210,000

Standard Deviation(σ)=$15,000

(a) We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/15,000

Z= −10,000/15000

Z= −0.67

Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.

P(Z<−0.67) = 0.2525

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/15,000

Z= 30,000/15000

Z= 2

Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.

P(Z>240,000)=P(Z>2)

P(Z>240,000)=1−P(Z<2)

P(z>240,000)=1−0.98

P(z>240,000)=0.02

(b) Now the average sale price(μ)=210,000

Standard Deviation(σ)=$20,000

We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/20,000

Z= −10,000/20000

Z= −0.5

Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.

P(Z<−0.5) = 0.2085

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/20,000

Z= 30,000/20000

Z= 1.5

Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.

P(Z>240,000)=P(Z>1.5)

P(Z>240,000)=1−P(Z<1.5)

P(z>240,000)=1−0.93319

P(z>240,000)=0.0668

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The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

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The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....

Given that,

The first two terms of an arithmetic sequence are given that is

1/x+3, 2/x+4,....

We have to find the third term of this sequence.

We know that,

The arithmetic sequence is the set of terms where the common difference between any two succeeding terms is always the same. Recall the definition of a sequence. A group of integers that follow a pattern is referred to as a sequence.

There are two ways of defining an arithmetic sequence. A "sequence where the differences between each pair of succeeding terms are the same" is what it is. Alternatively, "each term in an arithmetic sequence is obtained by adding a fixed number (positive, negative, or zero) to its preceding term."

The sequence has

n/x+(n+2)

Take n=1 is 1/x+3

Take n=2 is 2/x+4

Take n=3 is 3/x+5

Therefore, The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....

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Answer:

90°

Step-by-step explanation:

Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:

x+2x+3x+4x+5x+7x+8x+10x=360

40x=360

x=9

10x° is the largest exterior angle and x=9, so 10x°=90°

Hope this helps :)

The median will be greater than 10 and less than 15.

Given,

The mean of the skewed distribution = 15

The mode of the skewed distribution = 10

We have to find the potential range of the median for a positively skewed distribution;

Here,

The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.

Therefore,

The median will  be higher than 10 and lower than 15.

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The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.

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The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14

What are laws of exponents?

Laws which are used to solve the problems including the exponents are called laws of exponents

Solution:

As we can clearly see in whole expression 2 is present in every term

By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b

When we solve this expression we get

this expression equal to 2^15

which we can write 2×2^14

hence on comparing we get a = 2 and b = 14

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The expected number of people that Mason will have to ask to get a pencil, using the binomial distribution, is of:

6.67.

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the distribution are given are given and expected as follows:

The expected number of trials until q successes is given as follows:

E(X) = q/p.

15% of students will give mason a pencil when asked, hence the parameter p is given as follows:

p = 0.15.

Then the expected number of students that Mason will have to ask is of:

E(X) = 1/0.15 = 6.67.

q = 1 as one pencil = one success.

The problem asks for the expected number of students that Mason will have to ask for the pencil.

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Answer:

Step-by-step explanation:

i don't think so

Answer:

x^2+16x+64

Step-by-step explanation:

(x+8)^2 is (x+8)(x+8)

This equals x^2+8x+8x+64=x^2+16x+64

The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3) is

b Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5)

In simplifying the given expression: (1.8 x 10^5) - (2.6 x 10^3) while subtracting the power is made similar hence

= (1.8 x 10^5) - (2.6 x 10^3)

=  (1.8 x 10^5 - 0.026 x 10^5

applying distributive property of multiplication

= (1.8 - 0.026) x 10^5

= 1.774 x 10^5

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Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation: